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Finding the Fourth Proportional to 518,577, 777,996.72 and 144,600

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Solution

The fourth proportional to 518,577, 777,996.72 and 144,600 is: 216,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,577 : 777,996.72 = 144,600 : x
  2. Step 2: Convert to fraction form
    518,577/777,996.72 = 144,600/x
  3. Step 3: Cross multiply
    518,577x = 777,996.72 × 144,600
  4. Step 4: Simplify right side
    518,577x = 112,498,325,712
  5. Step 5: Solve for x
    x = 112,498,325,712/518,577
  6. Step 6: Final answer
    x = 216,936.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.